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Finding the Fourth Proportional to 4,653.34, 6,977.81 and 1,805.16

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Solution

The fourth proportional to 4,653.34, 6,977.81 and 1,805.16 is: 2,706.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.34 : 6,977.81 = 1,805.16 : x
  2. Step 2: Convert to fraction form
    4,653.34/6,977.81 = 1,805.16/x
  3. Step 3: Cross multiply
    4,653.34x = 6,977.81 × 1,805.16
  4. Step 4: Simplify right side
    4,653.34x = 12,596,063.50
  5. Step 5: Solve for x
    x = 12,596,063.50/4,653.34
  6. Step 6: Final answer
    x = 2,706.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.